1005213 has 16 divisors (see below), whose sum is σ = 1483776. Its totient is φ = 600240.

The previous prime is 1005209. The next prime is 1005217. The reversal of 1005213 is 3125001.

1005213 = T₄₂₂ + T₄₂₃ + ... + T₄₃₂.

It is an interprime number because it is at equal distance from previous prime (1005209) and next prime (1005217).

It is not a de Polignac number, because 1005213 - 2² = 1005209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556 + ... + 2922.

It is an arithmetic number, because the mean of its divisors is an integer number (92736).

2^1005213 is an apocalyptic number.

It is an amenable number.

1005213 is a deficient number, since it is larger than the sum of its proper divisors (478563).

1005213 is a wasteful number, since it uses less digits than its factorization.

1005213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1005213 is about 1002.6031119042. The cubic root of 1005213 is about 100.1734655896.

The spelling of 1005213 in words is "one million, five thousand, two hundred thirteen".